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Simplifying (a + 3)(a + 3) = 0 Reorder the terms: (3 + a)(a + 3) = 0 Reorder the terms: (3 + a)(3 + a) = 0 Multiply (3 + a) * (3 + a) (3(3 + a) + a(3 + a)) = 0 ((3 * 3 + a * 3) + a(3 + a)) = 0 ((9 + 3a) + a(3 + a)) = 0 (9 + 3a + (3 * a + a * a)) = 0 (9 + 3a + (3a + a2)) = 0 Combine like terms: 3a + 3a = 6a (9 + 6a + a2) = 0 Solving 9 + 6a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (3 + a)(3 + a) = 0Subproblem 1
Set the factor '(3 + a)' equal to zero and attempt to solve: Simplifying 3 + a = 0 Solving 3 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a = 0 + -3 a = 0 + -3 Combine like terms: 0 + -3 = -3 a = -3 Simplifying a = -3Subproblem 2
Set the factor '(3 + a)' equal to zero and attempt to solve: Simplifying 3 + a = 0 Solving 3 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a = 0 + -3 a = 0 + -3 Combine like terms: 0 + -3 = -3 a = -3 Simplifying a = -3Solution
a = {-3, -3}
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